165852480 has 112 divisors (see below), whose sum is σ = 543665664. Its totient is φ = 42792960.

The previous prime is 165852457. The next prime is 165852487. The reversal of 165852480 is 84258561.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165852487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26974 + ... + 32546.

Almost surely, 2^165852480 is an apocalyptic number.

165852480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165852480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271832832).

165852480 is an abundant number, since it is smaller than the sum of its proper divisors (377813184).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

165852480 is a wasteful number, since it uses less digits than its factorization.

165852480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5624 (or 5614 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 39.

The square root of 165852480 is about 12878.3725679917. The cubic root of 165852480 is about 549.4236165642.

The spelling of 165852480 in words is "one hundred sixty-five million, eight hundred fifty-two thousand, four hundred eighty".